Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
602 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 105 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #14572675 | C2 | semidirect |
| 3. #14563624 | C2 | semidirect |
| 4. #14562061 | C2 | semidirect |
| 5. #14562059 | C2 | semidirect |
| 6. #14561493 | C2 | semidirect |
| 7. C19×#1286 | C2 | semidirect |
| 57. C4×C8×C19 | D4 | semidirect |
| 67. C4×C19⋊C8 | D4 | semidirect |
| 181. #1286 | D19 | semidirect |
| 273. C4×C8 | D76 | semidirect |
| 277. C19 | #9489 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572675 | 2 |
| #14568537 | 2 |
| #14563624 | 2 |
| #14562061 | 2 |
| #14562059 | 2 |
| #14561493 | 2 |
| C19×#1286 | 2 |
| #9489 | 19 |